Problem $5-2($Algo$)$ Present and future value LO$5-7,5-8,5-10]$

Stone Company is facing several decisions regarding investing and financing activities. Address each decision independently.

On June $30,2024,$ the Stone Company purchased equipment from Paper Corporation. Stone agreed to pay $$15,000$ on the

purchase date and the balance in six annual installments of $$7,000$ on each June $30$ beginning June $30,2025.$ Assuming that an

interest rate of $12\%$ properly reflects the time value of money in this situation, at what amount should Stone value the equipment?

Stone needs to accumulate sufficient funds to pay a $$450,000$ debt that comes due on December $31,2029.$ The company will

accumulate the funds by making five equal annual deposits to an account paying $5\%$ interest compounded annually. Determine

the required annual deposit if the first deposit is made on December $31,2024.$

On January $1,2024,$ Stone leased an office building. Terms of the lease require Stone to make $20$ annual lease payments of

$$125,000$ beginning on January $1,2024.$ A $12\%$ interest rate is implicit in the lease agreement. At what amount should Stone

record the lease liability on January $1,2024,$ before any lease payments are made?